87203678400 has 252 divisors, whose sum is σ = 312211879512. Its totient is φ = 23084052480.

The previous prime is 87203678347. The next prime is 87203678447. The reversal of 87203678400 is 487630278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1950699 + ... + 1994901.

Almost surely, 2^87203678400 is an apocalyptic number.

87203678400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87203678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156105939756).

87203678400 is an abundant number, since it is smaller than the sum of its proper divisors (225008201112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87203678400 is a wasteful number, since it uses less digits than its factorization.

87203678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44368 (or 44350 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 87203678400 in words is "eighty-seven billion, two hundred three million, six hundred seventy-eight thousand, four hundred".